Unramified alternating extensions of quadratic fields

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dc.creatorKedlaya, Kiran S.
dc.date2001-03-30
dc.date.accessioned2026-07-07T04:40:53Z
dc.date.available2026-07-07T04:40:53Z
dc.descriptionWe exhibit, for n at least 5, infinitely many quadratic number fields admitting unramified degree n extensions with prescribed signature whose normal closures have Galois group A_n. This generalizes a result of Uchida and Yamamoto, which did not include the ability to restrict the signature, and a result of Yamamura, which was the case n=5.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/math/0103234
dc.identifierhttp://arxiv.org/abs/math/0103234
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61185
dc.subjectNumber Theory
dc.subject11S15; 11S05, 12F05
dc.titleUnramified alternating extensions of quadratic fields
dc.typetext

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